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Irrational Numbers — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSIrrational Numbers3 Marks
Question
Write a pair of irrational numbers whose sum is rational.
✓

Answer

$(\sqrt{3}+5)$ and $(4-\sqrt{3})$ are two irrational numbers whose sum is rational.
Thus, we have
$(\sqrt{3}+5)+(4-\sqrt{3}) $
$=\sqrt{3}+5+4-\sqrt{3}$
$=9$,
which is a rational number.

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